QUESTION IMAGE
Question
the photography club is selling hot chocolate at soccer games to raise money for new cameras. the table shows their profit per game for the first five games.
| game | profit ($) |
|---|---|
| 2 | -10.15 |
| 3 | 18.65 |
| 4 | 25.90 |
| 5 | 45.75 |
based on the average profit per game, how much total money can the club expect to earn by the end of the 10 - game season?
____ dollar(s)
Response
- First, find the average profit per game for the first five - game period:
- The sum of the profits for the first five games is \(-12.50+( - 10.15)+18.65 + 25.90+45.75\).
- \(-12.50+( - 10.15)=-22.65\).
- \(-22.65 + 18.65=-4\).
- \(-4+25.90 = 21.90\).
- \(21.90+45.75 = 67.65\).
- The average profit per game for the first five games is \(\frac{67.65}{5}=13.53\) dollars.
- Then, to find the total expected profit for a 10 - game season:
- Since the average profit per game is \(13.53\) dollars, for a 10 - game season, the total expected profit is \(13.53\times10 = 135.3\) dollars.
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135.3